In a meter bridge experiment, for measuring unknown resistance ‘S’, the null point is obtained at a distance 30 cm from the left side as shown at point D. If R is 5.6 kΩ, then the value of unknown resistance ‘S’ will be ___Ω.
The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%, 2% and 3% respectively. The maximum percentage error in the detection of the dissipated heat will be
A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of 4 m/s, is ______ cm. (Take g = 10 m/s2).
Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as\(v_2=\frac{n}{m^2}v_1\) and \(a_2=\frac{a_1}{mn}\)respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :
A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The work done by the gas during the part CA is:
To light, a W, 100 V lamp is connected, in series with a capacitor of capacitance \(\frac{50}{π\sqrt{x}}\mu F\) with \(200 V\), 50 Hz AC source.The value of x will be ___.
Following statements related to radioactivity are given below:(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.(B) The number of un-decayed nuclei in the radioactive sample decays exponentially with time.(C) Slope of the graph of loge (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time (τ).(D) Product of decay constant (λ) and half-life time (T1/2) is not constant.Choose the most appropriate answer from the options given below: